Finding the Third Proportional to 231,096 and 501,696

Step by Step Solution

1. Step 1: Write the proportion equation
   231,096 : 501,696 = 501,696 : x
2. Step 2: Convert to fraction form
   231,096/501,696 = 501,696/x
3. Step 3: Cross multiply
   231,096x = 501,696 × 501,696
4. Step 4: Simplify right side
   231,096x = 251,698,876,416
5. Step 5: Solve for x
   x = 251,698,876,416/231,096
6. Step 6: Final answer
   x = 1,089,152.89